| DeForest A. Preston, Edward Lawrence Stevens - Arithmetic - 1910 - 380 pages
...right-angle triangle the side opposite the right angle is called the hypotenuse. 385. The square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the other two sides. In the triangle shown, at the left, Therefore, x = Vo 1 + 6 2 .... | |
| Geometry, Plane - 1911 - 192 pages
...of the one equal, respectively, to the three sides of the other, the triangles are equal. 2. Prove: **The square on the hypotenuse of a right triangle is equal to the sum of** the squares on the other two sides. 3. Prove: The bisector of the vertical angle of a triangle divides... | |
| L. V. Arnold - Arithmetic - 1911 - 186 pages
...Define square root, cube root. What practical use may be made of square root? Prove the principle: **"The square on the hypotenuse of a right triangle is equal to the sum of** the squares on the base and altitude." Prove that a triangle having sides 9 in. x 12 in. x 15 in. is... | |
| Bruce Mervellon Watson, Charles Edward White - Arithmetic - 1911 - 424 pages
...lines are the legs? In triangle DEF1 In triangle KLM1 529. By geometry it is proved that The square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the two legs. The truth of this proposition may be shown in many ways, one of which... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1911 - 218 pages
...between the whole secant and its external segment 287 Squares of Lines THEOREM XLVII 193. The square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the legs I8~ THEOREM XLVIII 195. In any triangle, the square of the side opposite an... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...hypotenuse. The Pythagorean Theorem follows also as a corollary (from 4). 396. COROLLARY 4. The square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the legs. From Proposition IX and Corollary 1 follows directly 397. COROLLARY 5. If... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...hi/potenuse. The Pythagorean Theorem follows also as a corollary (from 4). 396. COROLLARY 4. The square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the legs. From Proposition IX and Corollary 1 follows directly 397. COROLLARY 5. If... | |
| William Benjamin Fite - Algebra - 1913 - 368 pages
...The area of a triangle is equal to one half the product of its base and altitude. 3. The square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the two sides. Ve 30 V5 + V3 4 -УЗ :„ 2 V7-5 4. The area of a circle is equal to... | |
| William James Milne - Arithmetic - 1914 - 524 pages
...sail whose base is 18 ft. and whose altitude is 27 ft. ? The principle (page 295) that the square of **the hypotenuse of a right triangle is equal to the sum of** the squares of the other two sides, may be stated : & = (?+&, (1) in which H stands for the hypotenuse... | |
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...was then computed. How much did the farmer receive for the land ? Ans. $361.57. PLANE GEOMETRY 366. **THEOREM. The square on the hypotenuse of a right triangle is equal to the sum of** the squares on the legs. F E HN FIG. 168. Given the rt. triangle ABC, with C the right angle. To prove... | |
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